eybrj2 wrote:
Two teams, X and Y, played against each other in a tournament for the championship. In the tournament the team that scored the greater number of points in a game won that game. If the first team to win 4 games became the champion, did Team X become the champion?
1) In the tournament, Team X scored more than twice as many points as Team Y.
2) The championship was decided after five games.
Given: In the tournament the team that scored the greater number of points in a game won that game. The first team to win 4 games became the champion Target question: Did team X become the champion?When I SCAN the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the
target question. So, I’m going to head straight to……
Statements 1 and 2 combined There are several values of scenarios that satisfy BOTH statements. Here are two:
Case a: Team X wins first game 100-0, and then team Y wins each of the next 4 games (1-0). So, Team X's total points = 100, and Team Y's total points = 4. This meets both Statements 1 and 2. In this case, the answer to the target question is
Team X did NOT win the championshipCase b: Team Y wins first game 1-0, and then team X wins each of the next 4 games (1-0). So, Team X's total points = 4, and Team Y's total points = 1. This meets both Statements 1 and 2. In this case, the answer to the target question is
Team X DID win the championshipSince we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
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